How to solve 12^r=13 in solving exponential equation with logarithms

BettieZumbrunnen

12^r = 13

Take the logarithm of each side of the equation:

r log(12) = log(13)

Divide each side by log(12) :

r = log(13) / log(12) = 1.03221,,, (rounded)

yassautumn

[latex]12^r=13\\ r=\log_{12}13[/latex]